S波和P波重味介子衰变常数的计算

1、S波和P波重味介子衰变常数的计算 王国利（Guo-Li Wang）哈尔滨工业大学IntroductionBethe-Salpeter and Salpeter EequationWave Fuctions and Decay ConstantsNumerical ResultsSummaryIntroductionLeptonic and Nonleptonic Weak DecayCKM Matrix ElementNeutral Mixinge.x.,Current Experimental Status CLEO (2005) BES (2005)Traditional Nonrelat

2、ivistic Approach in QMS Wave: the decay constant is related to the wave function at origin in coordinate spaceP Wave :the decay constant is related to the differential of wave function at originOur NotationS WaveP WaveThis talk is based on the following letters:，Phys. Lett. B596: 84-89, 2004 G.Cveti

3、c, C.S.Kim, Guo-Li Wang, Wuk Namgung，Phys. Lett. B633: 492-496, 2006 Guo-Li Wang，Phys. Lett. B650: 15-21, 2007 Guo-Li WangBethe-Salpeter and Salpeter EequationBethe-Salpeter Equation:Total momentum P and relative momentum q:Normalization:There is difficulty about the kernel, the time-inspired intera

4、ction?Reduced version is needed (instantaneous).The momentum is divided into two parts:and the momenta :will become to the and Salpeter EequationThe reduced Bethe-Salpeter wave function:and the useful notationsSalpeter wave function include four partsAnd the Salpter equation can be written as:Salpet

5、er equation (positive and negative energy wave function)Normalization:We solve the full Salpeter equation will the simple Cornell potential:In momentum space:Wave Fuctions and Decay ConstantsThe wave functions for S wave meson in a nonralativistic model are:In our model the relativistic wave functio

6、n for a pseudoscalar meson Since we have The four wave functions are not independentAnd the positive and negative wave functionAnd the normalization Decay Constant of mesonWave function for vector mesonThere are only four independent wave functions normalizationDecay Constant of mesonWave function f

7、or mesonNormalization:Decay constantWave function for mesonNormalization:Decay constantWave function for mesonNormalization:Decay constantNumerical Results1, Mass spectra of the mesons by fitting data and our best fit parameters Decay constants of the mesons 2, Mass spectra of the mesons Decay constants of the mesonsMass spectra of the P wave mesons Decay constants of the P wave mesons SummaryRelativistic corrections are importan